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Funsi f dan g didefinisikan sebagai f ( x ) = a + 2 x dan g ( x ) = b x − 6 . Jika f ( 0 ) = g ( 3 ) = 9 . Tentukan: a. nilai a dan b b. ( g ∘ f ) ( − 3 ) c. g − 1 ( − 4 )

Funsi f dan g didefinisikan sebagai dan  .  Jika . Tentukan:

a. nilai a dan b

b.

c.

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a. nilai a dan b diketahui: Jadi nilai a dan b adalah 9 dan 5 b. Jadi, c. Jadi

a. nilai a dan b

diketahui:

begin mathsize 14px style f open parentheses x close parentheses equals a plus 2 x end style

begin mathsize 14px style g open parentheses x close parentheses equals b x minus 6 end style

begin mathsize 14px style f open parentheses 0 close parentheses equals g open parentheses 3 close parentheses equals 9 end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses 0 close parentheses end cell equals cell a plus 2 open parentheses 0 close parentheses end cell row 9 equals a row a equals 9 end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g open parentheses 3 close parentheses end cell equals cell 3 b minus 6 end cell row 9 equals cell 3 b minus 6 end cell row cell 3 b end cell equals 15 row b equals cell 15 over 3 end cell row b equals 5 end table end style

Jadi nilai a dan b adalah 9 dan 5

b. begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses negative 3 close parentheses end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses f open parentheses x close parentheses close parentheses end cell row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses 9 plus 2 x close parentheses end cell row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell 5 open parentheses 9 plus 2 x close parentheses minus 6 end cell row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell 45 plus 10 x minus 6 end cell row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell 39 plus 10 x end cell row cell open parentheses g ring operator f close parentheses open parentheses negative 3 close parentheses end cell equals cell 39 plus 10 open parentheses negative 3 close parentheses end cell row cell open parentheses g ring operator f close parentheses open parentheses negative 3 close parentheses end cell equals cell 39 minus 30 end cell row cell open parentheses g ring operator f close parentheses open parentheses negative 3 close parentheses end cell equals 9 end table end style

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis g ring operator f right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis negative 3 right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 9 end table end style

c. begin mathsize 14px style g to the power of negative 1 end exponent open parentheses negative 4 close parentheses end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis x right parenthesis end cell equals cell 5 x minus 6 end cell row y equals cell 5 x minus 6 end cell row cell 5 x minus 6 end cell equals y row cell 5 x end cell equals cell y plus 6 end cell row x equals cell fraction numerator y plus 6 over denominator 5 end fraction end cell row cell g left parenthesis x right parenthesis to the power of negative 1 end exponent end cell equals cell fraction numerator x plus 6 over denominator 5 end fraction end cell row cell g left parenthesis negative 4 right parenthesis to the power of negative 1 end exponent end cell equals cell fraction numerator open parentheses negative 4 close parentheses plus 6 over denominator 5 end fraction end cell row cell g left parenthesis negative 4 right parenthesis to the power of negative 1 end exponent end cell equals cell 2 over 5 end cell end table end style 

Jadi Error converting from MathML to accessible text.

 

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Diketahui g ( x ) = x + 3 2 x ​ ; x  = − 3 dan h ( x + 1 ) = 3 x − 1 . Nilai ( g ∘ h − 1 ) ( 4 ) ....

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